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Evaluate the expression when w = 14, x = 6 y = 10 and z = 17

hoa [83]

Step-by-step explanation:

at first give expression .

3 0

2 years ago

suppose a farmer encloses a rectangular region of a land next to a river. fencing will be used on 3 sieds, and none is needed al

nexus9112 [7]

Answer:

Dimensions :

x (the longer side, only one side with fence ) = 90 ft

y ( the shorter side two sides with fence ) = 45 ft

Total fence used 45 * 2 + 90 = 180 ft

A(max) =

Step-by-step explanation: If a farmer has 180 ft of fencing to encloses a rectangular area with fence in three sides and the river on one side, the farmer surely wants to have a maximum enclosed area.

Lets call "x" one the longer side ( only one of the longer side of the rectangle will have fence, the other will be along the river and won´t need fence. "y" will be the shorter side

Then we have:

P = perimeter = 180 = 2y + x ⇒ y = ( 180 - x ) / 2 (1)

And A (r) = x * y

A(x) = x * ( 180 - x ) /2 ⇒ A(x) = (180/2) *x - x² / 2

Taking derivatives on both sides of the equation :

A´(x) = 90 - x

Then if A´(x) = 0 ⇒ 90 - x = 0 ⇒ x = 90 ft

and from : y = ( 180 - x ) / 2 ⇒ y = 90/2

y = 45 ft

And

A(max) = 90 * 45 = 4050 ft²

4 0

2 years ago

What is the length of the radius? startfraction 6 over 85 endfraction startfraction 85 over 12 endfraction startfraction 121 ove

melomori [17]

The length of the radius will be 22 units.

<h3>What is the radius?</h3>

The radius of a circle is defined as the distance of the center of the circle to its outer layer. It is a locus of a point present at some distance from the center point.

Now from the question, we have an expression:

$r=(\dfrac{6}{85} )\times(\dfrac{85}{12} )\times (\dfrac{121}{36} )\times (\dfrac{157}{12} )$

By solving the above equation we get

$r=(\dfrac{18997}{864} )$

$r=22$

Hence the length of the radius will be 22 units.

To know more about radius follow

brainly.com/question/24375372

6 0

1 year ago

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A picture frame is shaped like a rectangle whose perimeter is 196 cm. The length is 6 times long as the width

lbvjy [14]

L=length W=width
perimeter=2Lx2W
196=2L+2W

Length can be written as 6W because it is 6 times the width. We then substitute this in so all the terms are the same

196=2(6W)+2W
196=12W+2W
196=14W
W=14cm
L= (14x6) 84cm

3 0

3 years ago

Oil leaked from a tank at a rate of r(t) liters per hour. the rate decreased as time passed, and values of the rate at two hour

Galina-37 [17]

The given data is
t, h: 0 2 4 6 8 10
r(t), L/h: 8.6 7.9 6.8 6.4 5.7 5.3

The lower and upper estimates for the total amount that leaked may be computed as the Left and Right Riemann sums.

The shape of the graph of r versus will determine which of the two sums yields an upper or lower sum.
The plot of the graph is shown below.

The Left Riemann sum is
Sl = 2*(8.6+7.9+6.8+6.4+5.7) = 70.8 L

The Right Riemann sum is
Sr = 2*(7.9+6.8+6.4+5.7+5.3) = 64.2 L

Answer:
The lower estimate for oil leakage is 64.2 L
The upper estimate for oil leakage is 70.8 L

4 0

3 years ago

Read 2 more answers